Finding the Third Proportional to 21,139 and 45,663

Step by Step Solution

1. Step 1: Write the proportion equation
   21,139 : 45,663 = 45,663 : x
2. Step 2: Convert to fraction form
   21,139/45,663 = 45,663/x
3. Step 3: Cross multiply
   21,139x = 45,663 × 45,663
4. Step 4: Simplify right side
   21,139x = 2,085,109,569
5. Step 5: Solve for x
   x = 2,085,109,569/21,139
6. Step 6: Final answer
   x = 98,638.04